Statistical and mathematical models are defined by parameters that describe different characteristics of those models. Ideally it would be possible to find parameter estimates for every parameter in that model, but, in some cases, this is not possible. For example, two parameters that only ever appear in the model as a product could not be estimated individually; only the product can be estimated. Such a model is said to be parameter redundant, or the parameters are described as non-identifiable. This book explains why parameter redundancy and non-identifiability is a problem and the different methods that can be used for detection, including in a Bayesian context. Key features of this book: Detailed discussion of the problems caused by parameter redundancy and non-identifiability Explanation of the different general methods for detecting parameter redundancy and non-identifiability, including symbolic algebra and numerical methods Chapter on Bayesian identifiability Throughout illustrative examples are used to clearly demonstrate each problem and method. Maple and R code are available for these examples More in-depth focus on the areas of discrete and continuous state-space models and ecological statistics, including methods that have been specifically developed for each of these areas This book is designed to make parameter redundancy and non-identifiability accessible and understandable to a wide audience from masters and PhD students to researchers, from mathematicians and statisticians to practitioners using mathematical or statistical models.
DIANA PALMER COLLECTED BOOKS 1-6 New York Times bestselling author Diana Palmer brings you six dangerous, ruthless men - and the women who can tame them...
The Oxford Literacy Web is an exciting new literacy programme designed to guide schools successfully through the primary years. Fitting the requirements of the National Literacy Strategy, National Curriculum in England and Wales, English Language 5-14 in Scotland, and Common Curriculum inNorthern Ireland, the Oxford Literacy Web guides pupils through the core skills associated with learning to read and write with a diverse range of literary styles within the genres of fiction, non-fiction, rhymes, language, and poetry.The "Letters, Sounds, and Rhymes" strand is a unique programme, developing phonological awareness and phonics knowledge throughout the infant years.Following on from Rhyming Stories stages 1-3, these books help to develop children's phonic knowledge, especially their ability to discriminate, spell, and read vowel phonemes (oo, ar, oy, ow, oi, ou). They cover the work stipulated for Year 1 (Primary 2) term 3 and Year 2 (Primary 3) terms 1, 2,and 3 in the National Literacy Strategy. the accompanying big books are ideal for shared/class reading. Each book provides a lively storyline with lots of humour and a mixture of traditional and original stories. Beautiful four colour artwork strongly cues and supports the text for early readers.The target age range is 6-7 year olds.
The Oxford Literacy Web is an exciting new literacy programme designed to guide schools successfully through the primary years. Fitting the requirements of the National Literacy Strategy, National Curriculum in England and Wales, English Language 5-14 in Scotland, and Common Curriculum in Northern Ireland, the Oxford Literacy Web guides pupils through the core skills associated with learning to read and write with a diverse range of literary styles within the genres of fiction, non-fiction, rhymes, language, and poetry. The "Letters, Sounds, and Rhymes" strand is a unique programme, developing phonological awareness and phonics knowledge throughout the infant years. Following on from Phonic Stories stages 4-6, these books help to develop children's ability to discriminate, spell, and read more vowel phonemes (air, are, ear, oor, or, aw, er, ur, ear, ea). They cover the work stipulated for Year 2 (Primary 3) in the National Literacy Strategy. The accompanying big books are ideal for shared/class reading. Each book provides a lively storyline with lots of humour and a mixture of traditional and original stories. Beautiful and varied four colour artwork strongly cues and supports the text for early readers. The target age range is Year 2 (6/7 years).
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